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12088860 = 22357107269
BaseRepresentation
bin101110000111…
…011000011100
3211202011210120
4232013120130
511043320420
61111034540
7204516330
oct56073034
924664716
1012088860
1169075a3
12406ba50
132673594
1418697c0
1510dbd40
hexb8761c

12088860 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 2727168.

The previous prime is 12088837. The next prime is 12088861. The reversal of 12088860 is 6888021.

12088860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120888602 = 292281072199200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44806 + ... + 45074.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 212088860 is an apocalyptic number.

12088860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12088860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12088860 is an abundant number, since it is smaller than the sum of its proper divisors (27102180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12088860 is a wasteful number, since it uses less digits than its factorization.

12088860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 12088860 is about 3476.9037950452. The cubic root of 12088860 is about 229.5065666122.

The spelling of 12088860 in words is "twelve million, eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 269 321 420 428 535 538 642 749 807 1070 1076 1284 1345 1498 1605 1614 1883 2140 2247 2690 2996 3210 3228 3745 3766 4035 4494 5380 5649 6420 7490 7532 8070 8988 9415 11235 11298 14980 16140 18830 22470 22596 28245 28783 37660 44940 56490 57566 86349 112980 115132 143915 172698 201481 287830 345396 402962 431745 575660 604443 805924 863490 1007405 1208886 1726980 2014810 2417772 3022215 4029620 6044430 12088860